Comprehension
As per a survey conducted in a college out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys. Data regarding students opting for various streams viz., Non-Medical, Medical, Commerce, Arts and Fine Arts showed that 25% of the enrolled students opted non-medical and the percentage of girls in Non-Medical was 30% of the total number of girls; 15% of the total students opted for Medical and the percentage of girls who opted Medical was 18% of the total number of girls; 25% of the total students opted Arts but the percentage of girls who opted for Arts was 15% of the total number of girls; 16% of the total students opted Commerce and the percentage of girls who opted Commerce was 17% of the total number of girls, and; 19% of the total students opted Fine Arts and the percentage of girls who opted Fine Arts was 20% of the total number of girls.
Question: 1

How many girls have opted Non-Medical?

Updated On: Jul 14, 2026
  • 440
  • 365
  • 530
  • 510
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The Correct Option is D

Solution and Explanation

Step 1: The total number of girls enrolled is 1,700, and the data tells us that 30% of these girls chose the Non-Medical stream.

Step 2: Find 10% of 1,700 first, since it's easier to scale up: \( 1700 \times 10\% = 170 \).

Step 3: Since we need 30%, multiply this 10% value by 3: \( 170 \times 3 = 510 \).

Step 4: This gives the number of girls who opted for Non-Medical directly from the given percentage.
\[ \boxed{510} \]
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Question: 2

Girls have outnumbered boys in Fine Arts. How many girls in Fine Arts are more than the boys, as a percentage of total number of boys in Fine Arts?

Updated On: Jul 14, 2026
  • 49.62%
  • 47.82%
  • 51.23%
  • 50.89%
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The Correct Option is B

Solution and Explanation

Step 1: Fine Arts has 19% of 3,000 total students, which is \( 0.19 \times 3000 = 570 \) students in total.

Step 2: Girls in Fine Arts are 20% of the total 1,700 girls, which is \( 0.20 \times 1700 = 340 \). So boys in Fine Arts are \( 570 - 340 = 230 \).

Step 3: The excess of girls over boys is \( 340 - 230 = 110 \). As a percentage of the boys' count, this is \( \frac{110}{230} \times 100 \).

Step 4: Simplifying, \( \frac{110}{230} \times 100 \approx 47.83\% \), which rounds to the nearest given option.
\[ \boxed{47.82\%} \]
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Question: 3

Which of the following courses have been opted by maximum number of boys?

Updated On: Jul 14, 2026
  • Non-Medical
  • Arts
  • Fine Arts
  • Commerce
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The Correct Option is B

Solution and Explanation

Rather than compute every stream's boys count individually, we can reason about which stream is even capable of having the most boys, since boys in a stream depend on both its total size and how many girls it draws.

  1. Non-Medical: This stream ties Arts for the largest total size (750 students), but takes 30% of all girls into it, the highest girl-share of any stream, so it loses many potential boy seats to girls, capping it at 240 boys.
  2. Arts: Arts matches Non-Medical's size (750 students) but takes only 15% of the girls, the lowest girl-share among all streams. With a large total pool and a small girl draw, Arts ends up with the most boys, 495.
  3. Fine Arts: With just 570 total seats, even a high boy-share cannot let this stream catch up to a 750-seat stream like Arts; its boys count comes to only 230.
  4. Commerce: This is the smallest of the four options at 480 total seats, so no matter its gender split it cannot outnumber Arts; it ends up with just 191 boys.

Since Arts combines the largest total intake with the smallest share of girls, it necessarily has the highest number of boys among the streams.

The correct answer is Arts.

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Question: 4

Which of the following courses have been opted by minimum number of boys?

Updated On: Jul 14, 2026
  • Medical
  • Fine Arts
  • Commerce
  • Non-Medical
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The Correct Option is A

Solution and Explanation

Instead of calculating every stream fully, we can narrow this down by first looking at which stream has the smallest overall intake, since a small total pool limits how many boys it can possibly hold.

  1. Medical: At 15% of 3,000 students, Medical has only 450 seats total, the smallest of the four options here. It also sends a fairly high share of girls (18% of 1,700 = 306) into it, so the boys' share left over is squeezed down to just 144.
  2. Fine Arts: With 19% of 3,000 (570 seats) and 20% of the girls (340), Fine Arts is a larger pool than Medical and still leaves 230 boys, more than Medical.
  3. Commerce: At 16% of 3,000 (480 seats) with 17% of girls (289), Commerce is close in size to Medical but slightly larger, leaving 191 boys, still above Medical's count.
  4. Non-Medical: This is the largest stream among the four at 25% of 3,000 (750 seats), so even with the highest girl-share (30% of 1,700 = 510) it still leaves 240 boys, comfortably above Medical.

Being both the smallest stream overall and drawing a high proportion of girls, Medical ends up with the fewest boys.

The correct answer is Medical.

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Question: 5

What is the ratio among boys and girls for Non-Medical?

Updated On: Jul 14, 2026
  • 3:17
  • 17:8
  • 8:17
  • 17:3
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The Correct Option is C

Solution and Explanation

Step 1: Non-Medical has 750 total students, being 25% of the 3,000 enrolled.

Step 2: Girls in Non-Medical are 30% of the total 1,700 girls, which is \( 0.30 \times 1700 = 510 \). So boys in Non-Medical are \( 750 - 510 = 240 \).

Step 3: The ratio of boys to girls is \( 240 : 510 \). Dividing both terms by their common factor of 30 gives \( 8 : 17 \).
\[ \boxed{8:17} \]
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Top Questions on Statistical Estimation

Questions Asked in CLAT exam

Read the passage and answer the question.

Passage (extract): The work which Gandhiji had taken up was not only regarding the achievement of political freedom but also the establishment of a new social order based on truth and non-violence, unity and peace, equality and universal brotherhood and maximum freedom for all. A new order cannot be established without radically changing the mind and attitude of men towards property and, at some stage or the other, the 'haves' have to yield place to the 'have-nots'. We have seen, in our time, attempts to achieve a kind of egalitarian society and the picture of it after it was achieved. But this was done, by and large, through the use of physical force. It may even be that, like a gas kept confined within containers under great pressure, or water held back by a big dam, once the barrier breaks, the reaction will one day sweep back with a violence equal in extent and intensity to what was used to establish and maintain the outward egalitarian form. This enforced egalitarianism contains, in its bosom, the seed of its own destruction. If egalitarianism is to endure, it has to be based not on the possession of the maximum material goods by a few or by all but on voluntary, enlightened renunciation of those goods which cannot be shared by others or can be enjoyed only at the expense of others.

According to the passage, egalitarianism will not survive if
View Solution
Read the passage and answer the question.

Passage (extract): The work which Gandhiji had taken up was not only regarding the achievement of political freedom but also the establishment of a new social order based on truth and non-violence, unity and peace, equality and universal brotherhood and maximum freedom for all. This unfinished part of his experiment was perhaps even more difficult to achieve than the achievement of political freedom. In the political struggle, the fight was against a foreign power and all one could do was either join it or wish it success and give it his/her moral support. In establishing a social order on this pattern, there was a strong possibility of a conflict arising between diverse groups and classes of our own people.

According to the passage, which was the unfinished part of Gandhi's experiment?
View Solution
Read the passage and answer the question.

Passage (extract): In the political struggle, the fight was against a foreign power and all one could do was either join it or wish it success and give it his/her moral support. Experience shows that man values his possessions even more than his life because in the former he sees the means for perpetuation and survival of his descendants even after his body is reduced to ashes. We have seen, in our time, attempts to achieve a kind of egalitarian society and the picture of it after it was achieved. But this was done, by and large, through the use of physical force. This enforced egalitarianism contains, in its bosom, the seed of its own destruction. The root cause of class conflict is possessiveness or the acquisitive instinct.

Which of the following statements is 'not true' in the context of the passage?
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